Add 18/12 and 20/9
1st number: 1 6/12, 2nd number: 2 2/9
18/12 + 20/9 is 67/18.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 9 is 36
Next, find the equivalent fraction of both fractional numbers with denominator 36 - For the 1st fraction, since 12 × 3 = 36,
18/12 = 18 × 3/12 × 3 = 54/36 - Likewise, for the 2nd fraction, since 9 × 4 = 36,
20/9 = 20 × 4/9 × 4 = 80/36 - Add the two like fractions:
54/36 + 80/36 = 54 + 80/36 = 134/36 - 134/36 simplified gives 67/18
- So, 18/12 + 20/9 = 67/18
In mixed form: 313/18
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 36/12+20/9 18/12+40/9 18/24+20/9 18/12+20/18 54/12+20/9 18/12+60/9 18/36+20/9 18/12+20/27 90/12+20/9 18/60+20/9 18/12+20/45 18/84+20/9 18/12+20/63